213548652 has 72 divisors (see below), whose sum is σ = 571150944. Its totient is φ = 67136256.

The previous prime is 213548627. The next prime is 213548653. The reversal of 213548652 is 256845312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213548653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58678 + ... + 62210.

It is an arithmetic number, because the mean of its divisors is an integer number (7932652).

Almost surely, 2^213548652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213548652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285575472).

213548652 is an abundant number, since it is smaller than the sum of its proper divisors (357602292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213548652 is a wasteful number, since it uses less digits than its factorization.

213548652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3634 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 213548652 is about 14613.3039385349. The cubic root of 213548652 is about 597.7215923826.

The spelling of 213548652 in words is "two hundred thirteen million, five hundred forty-eight thousand, six hundred fifty-two".